What is the Least Common Multiple of 35553 and 35565?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 35553 and 35565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35553 and 35565, than apply into the LCM equation.

GCF(35553,35565) = 3
LCM(35553,35565) = ( 35553 × 35565) / 3
LCM(35553,35565) = 1264442445 / 3
LCM(35553,35565) = 421480815

Least Common Multiple (LCM) of 35553 and 35565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35553 and 35565. First we will calculate the prime factors of 35553 and 35565.

Prime Factorization of 35553

Prime Factorization of 35565

Now multiplying the highest exponent prime factors to calculate the LCM of 35553 and 35565.

LCM(35553,35565) = 3¹ × 7¹ × 1693¹ × 5¹ × 2371¹
LCM(35553,35565) = 421480815